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Finding the Fourth Proportional to 471,077.64, 649,872.72 and 279,982.44

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Solution

The fourth proportional to 471,077.64, 649,872.72 and 279,982.44 is: 386,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,077.64 : 649,872.72 = 279,982.44 : x
  2. Step 2: Convert to fraction form
    471,077.64/649,872.72 = 279,982.44/x
  3. Step 3: Cross multiply
    471,077.64x = 649,872.72 × 279,982.44
  4. Step 4: Simplify right side
    471,077.64x = 181,952,949,835.04
  5. Step 5: Solve for x
    x = 181,952,949,835.04/471,077.64
  6. Step 6: Final answer
    x = 386,248.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.